I'm a quiet dude too, and its also been somewhat difficult for me to meet women outside of college. I used to be extra shy, but once I developed confidence and started having some success with women, I graduated and it became harder to find opportunities.
Most of the people giving advice are ignoring the shy/quiet part. Places like bars/clubs probably aren't going to give us the best chance to meet women, at least not consistently. I've had more success meeting women through mutual friends more than anything.
You can be a quiet guy, just get rid of that shyness. Also, work on noticing when women are sending you signals. That used to be a problem for me too, and I'm still oblivious to that shyt sometimes, but I'm getting better. Just get out more and be prepared to strike up a conversation with a woman who catches your eye.
Suggestions like volunteering, taking classes, and hitting up art galleries are solid. Also try poetry open mics. If I had any magic advice, I'd tell you because I know your pain. We just gotta keep swinging, breh.